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Finding the Fourth Proportional to 231.20, 317.38 and 229.04

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Solution

The fourth proportional to 231.20, 317.38 and 229.04 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 317.38 = 229.04 : x
  2. Step 2: Convert to fraction form
    231.20/317.38 = 229.04/x
  3. Step 3: Cross multiply
    231.20x = 317.38 × 229.04
  4. Step 4: Simplify right side
    231.20x = 72,692.72
  5. Step 5: Solve for x
    x = 72,692.72/231.20
  6. Step 6: Final answer
    x = 314.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.